Counterexamples to applicative simulation and extensionality in non-deterministic call-by-need lambda-calculi with letrec

Authors:
Manfred Schmidt-Schauí;David Sabel;Elena Machkasova
Affiliations:
Goethe University, Frankfurt, Germany;Goethe University, Frankfurt, Germany;University of Minnesota, Morris, MN, USA
Venue:
Information Processing Letters
Year:
2011

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Abstract

This note provides an example that demonstrates that in non-deterministic call-by-need lambda-calculi extended with cyclic let, extensionality as well as applicative bisimulation in general may not be used as criteria for contextual equivalence w.r.t. may- and two different forms of must-convergence. We also outline how the counterexample can be adapted to other calculi.